2001001101200 has 30 divisors (see below), whose sum is σ = 4807405146594. Its totient is φ = 800400440320.

The previous prime is 2001001101179. The next prime is 2001001101347. The reversal of 2001001101200 is 21011001002.

It can be written as a sum of positive squares in 3 ways, for example, as 116245538704 + 1884755562496 = 340948^2 + 1372864^2 .

It is a super-2 number, since 2×2001001101200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501250977 + ... + 2501251776.

Almost surely, 2^{2001001101200} is an apocalyptic number.

2001001101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001001101200 is an abundant number, since it is smaller than the sum of its proper divisors (2806404045394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001001101200 is a wasteful number, since it uses less digits than its factorization.

2001001101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002502771 (or 5002502760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001001101200 its reverse (21011001002), we get a palindrome (2022012102202).

The spelling of 2001001101200 in words is "two trillion, one billion, one million, one hundred one thousand, two hundred".